An investigation of the laws of thought : on which are founded the mathematical theories of logic and probabilities by George Boole(
Book
)137
editions published
between
1854
and
2017
in
English and Undetermined
and held by
1,745 WorldCat member
libraries
worldwide
An Investigation of the Laws of Thought on Which are Founded the Mathematical Theories of Logic and Probabilities, was an
influential 19th century book by George Boole, the second of his two monographs on algebraic logic. It was published in 1854.
Boole was Professor of Mathematics of then Queen's College, Cork in Ireland

A treatise on the calculus of finite differences by George Boole(
Book
)130
editions published
between
1667
and
2017
in
3
languages
and held by
1,223 WorldCat member
libraries
worldwide
Self-taught mathematician and father of Boolean algebra, George Boole (1815-1864) published A Treatise on the Calculus of
Finite Differences in 1860 as a sequel to his Treatise on Differential Equations (1859). Both books became instant classics
that were used as textbooks for many years and eventually became the basis for our contemporary digital computer systems.
The book discusses direct theories of finite differences and integration, linear equations, variations of a constant, and
equations of partial and mixed differences. Boole also includes exercises for daring students to ponder, and also supplies
answers. Long a proponent of positioning logic firmly in the camp of mathematics rather than philosophy, Boole was instrumental
in developing a notational system that allowed logical statements to be symbolically represented by algebraic equations. One
of history's most insightful mathematicians, Boole is compelling reading for today's student of logic and Boolean thinking

The mathematical analysis of logic; being an essay towards a calculus of deductive reasoning by George Boole(
Book
)84
editions published
between
1847
and
2015
in
English
and held by
932 WorldCat member
libraries
worldwide
Self-taught mathematician George Boole (1815-1864) published a pamphlet in 1847 - The Mathematical Analysis of Logic - that
launched him into history as one of the nineteenth century's most original thinkers. In the introduction, Boole closely adheres
to two themes: the fundamental unity of all science and the close relationship between logic and mathematics. In the first
chapter, he examines first principles of formal logic, and then moves on to Aristotelian syllogism, hypotheticals, and the
properties of elective functions. Boole uses this pamphlet to answer a well-known logician of the day, Sir William Hamilton,
who believed that only philosophers could study 'the science of real existence', while all mathematicians could do was measure
things. In essence, The Mathematical Analysis of Logic humbly chides Hamilton and asks him to rethink his bias. Boole is compelling
reading for anyone interested in intellectual history and the science of the mind

A treatise on differential equations by George Boole(
Book
)121
editions published
between
1859
and
2015
in
3
languages
and held by
889 WorldCat member
libraries
worldwide
The need to support his family meant that George Boole (1815-64) was a largely self-educated mathematician. Widely recognised
for his ability, he became the first professor of mathematics at Cork. Boole belonged to the British school of algebra, which
held what now seems to modern mathematicians to be an excessive belief in the power of symbolism. However, in Boole's hands
symbolic algebra became a source of novel and lasting mathematics. Also reissued in this series, his masterpiece was An Investigation
of the Laws of Thought (1854), and his two later works A Treatise on Differential Equations (1859) and A Treatise on the Calculus
of Finite Differences (1860) exercised an influence which can still be traced in many modern treatments of differential equations
and numerical analysis. The beautiful and mysterious formulae that Boole obtained are among the direct ancestors of the theories
of distributions and of operator algebras

Calculus of finite differences by George Boole(
Book
)41
editions published
between
1860
and
1970
in
3
languages
and held by
641 WorldCat member
libraries
worldwide

Studies in logic and probability by George Boole(
Book
)38
editions published
between
1945
and
2012
in
English
and held by
608 WorldCat member
libraries
worldwide
From one of the founders of symbolic logic comes this collection of writings on logical subjects and related questions of
probability. George Boole invented Boolean logic, the basis of modern digital computer logic, for which he is regarded as
a founder of the field of computer science. This authoritative compilation of his papers features his most mature thinking
on Boolean logic and includes previously unpublished material. Appropriate for upper-level undergraduates and graduate students,
the contents range from The Mathematical Analysis of Logic to Boole's final works, including The Laws of Thought, the most
systematic statement of his ideas on logic and probability. Boole had intended to create a follow-up volume but did not survive
to fulfill his ambition; this volume features his further studies on the subject

Collected logical works by George Boole(
Book
)4
editions published
in
1952
in
English
and held by
277 WorldCat member
libraries
worldwide

The laws of thought (1854) by George Boole(
Book
)16
editions published
between
1854
and
1952
in
English
and held by
250 WorldCat member
libraries
worldwide

The laws of thought by George Boole(
Book
)11
editions published
between
1854
and
2003
in
English
and held by
131 WorldCat member
libraries
worldwide
"This groundbreaking work on logic by the brilliant nineteenth-century English mathematician George Boole (1815-1864) remains
influential to this day. Boole's major contribution was to demonstrate conclusively that the symbolic expressions of algebra
could be adapted to convey the fundamental principles and operations of logic, which hitherto had been expressed only in words.
Boole was thus the founder of today's science of symbolic logic."--Jacket

Les Lois de la pensée by George Boole(
Book
)6
editions published
in
1992
in
French
and held by
96 WorldCat member
libraries
worldwide

George Boole : selected manuscripts on logic and its philosophy by George Boole(
Book
)10
editions published
between
1997
and
2014
in
English and German
and held by
57 WorldCat member
libraries
worldwide
George Boole (1815-1864) is well known to mathematicians for his research and textbooks on the calculus, but his name has
spread world-wide for his innovations in symbolic logic and the development and applications made since his day. The utility
of "Boolean algebra" in computing has greatly increased curiosity in the nature and extent of his achievements. His work is
most accessible in his two books on logic, "A mathematical analysis of logic" (1947) and "An investigation of the laws of
thought" (1954). But at various times he wrote manuscript essays, especially after the publication of the second book; several
were intended for a non-technical work, "The Philosophy of logic", which he was not able to complete. This volume contains
an edited selection which not only relates them to Boole's publications and the historical context of his time, but also describes
their strange history of family, followers and scholars have treid to confect an edition. The book will appeal to logicians,
mathematicians and philosophers, and those interested in the histories of the corresponding subjects; and also students of
the early Victorian Britain in which they were written

Collected logical works by George Boole(
Book
)8
editions published
between
1916
and
1952
in
English and Undetermined
and held by
49 WorldCat member
libraries
worldwide

Collected logical works by George Boole(
Book
)8
editions published
between
1854
and
1952
in
English
and held by
44 WorldCat member
libraries
worldwide